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One side of a triangle is 3 times the second side. The third side is 13 feet longer than the second side. The perimeter of a triangle is 68 feet. Find the length of each side.

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sqdancefan

Answer:

  33, 11, 24 feet

Step-by-step explanation:

Let s represent the length of the second side. Then the length of the first side is 3s and the length of the third side is s+13. The perimeter is the sum of side lengths:

  (3s) +(s) +(s +13) = 68

  5s = 55 . . . . . subtract 13

  s = 11 . . . . . . . divide by 5

The side lengths are ...

  33, 11, 24 feet

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